Finding the Third Proportional to 42,201 and 59,355

Step by Step Solution

1. Step 1: Write the proportion equation
   42,201 : 59,355 = 59,355 : x
2. Step 2: Convert to fraction form
   42,201/59,355 = 59,355/x
3. Step 3: Cross multiply
   42,201x = 59,355 × 59,355
4. Step 4: Simplify right side
   42,201x = 3,523,016,025
5. Step 5: Solve for x
   x = 3,523,016,025/42,201
6. Step 6: Final answer
   x = 83,481.81